Practice - Practice Problems
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Practice Questions
Test your understanding with targeted questions
Prove the identity sin²θ + cos²θ = 1.
💡 Hint: Think about the definitions of sine and cosine on the unit circle.
Calculate sin(45°) and cos(45°).
💡 Hint: Use the angles of a 45-45-90 triangle.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the identity for 1 + tan²θ?
💡 Hint: Think about how tan relates to sin and cos.
Is sin(x) a periodic function?
💡 Hint: Recall the periodic nature of sine functions.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Prove that 1 + cot²θ = csc²θ.
💡 Hint: Recall how cotangent and cosecant relate to sine and cosine.
Given the equation sin²x + cos²x = 1, derive the values for sin(x) if cos(x) = 1/2.
💡 Hint: Think about the definition of a triangle in relation to the unit circle.
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